We believe students make sense of mathematics when they learn in an environment that focuses on new concepts and builds on mathematics they have previously explored. Math class is about developing a problem solving mindset. Learning mathematics is understanding, making connections, applying knowledge, and communicating ideas.

• Students learn best when the important mathematical ideas are embedded in engaging problems that they can explore, discuss, and reflect upon.
• Students progress in both math content (skills & knowledge) and math practices (habits & communication) at different rates.
• Students build flexible thinking by considering a variety of strategies as they move towards efficiency.
• Depth is much more important than speed or quantity.
• Everyone can learn math to the highest levels.
• Asking questions and making mistakes are valuable tools in brain growth and learning.
• Math education is important to all people, not because they will see the same problems in the real world, but because they will have developed a problem solving mindset.

# Grade 4 Math is all about…using the four operations (+,-,x,÷) to solve multi-digit and multi-step problems involving whole numbers and fractions.

## The essential building blocks for solid understanding of mathematical concepts

• Multiply and divide to solve multi-digit computation and story problems
• Fluently add and subtract multi-digit numbers with a standard algorithm by applying place value understanding and properties of operations
• Apply equivalence and understanding of unit fractions to compare and order fractions and decimals
• Add, subtract, and multiply fractions by applying previous understandings of operations on whole numbers

### FOCUS AT THIS GRADE LEVEL WILL ALSO INCLUDE:

• Gain familiarity with factors and multiples.
• Look and extend patterns.Convert and compare measurements.
• Organize and analyze data using tables and graphs.
• Identify, describe, and measure various types of angles, shapes, and lines

### HELPING YOUR STUDENT LEARN OUTSIDE OF SCHOOL:

Look for everyday opportunities to have your child do mathematics.
Point out when you are using math.
Encourage your child to stick with it whenever a problem seems difficult. This will help your child see that everyone can learn math.
Praise your child when he or she makes an effort and share in the excitement when he or she solves a problem or understands something for the first time.

What do you already know in this problem?
What are you trying to find out?
What strategy are you thinking about using to solve the problem?
Would drawing a picture help? Make a table. Does your answer make sense? Does it seem reasonable?

### Multiplicative Reasoning: from concept to fluency

• Fluently multiply and divide within 100 by applying properties of operations and the inverse relationship
• Understand area; and relate area to multiplication and division

• Multiply and divide to solve multi-digit computation and story problems

• Fluently multiply and divide multi-digit numbers with a standard algorithm by applying place value understanding and properties of operations
• Understand volume; and relate volume to multiplication (geometry)

### Fractional Reasoning: from concept to fluency

• Develop understanding of fractions as numbers.

• Apply equivalence and understanding of unit fractions to compare and order fractions and decimals.
• Fluently add, subtract, multiply and divide fractions by applying place value understanding and properties of operations.

• Fluently add/subtract fractions using equivalent fractions and properties of operations
• Multiply and divide fractions
• Fluently add, subtract, multiply and divide decimals by applying place value understanding and properties of operations.